6(q+5)-2(5-2q)=30

Solution for 6(q+5)-2(5-2q)=30 equation:

Simplifying
6(q + 5) + -2(5 + -2q) = 30

Reorder the terms:
6(5 + q) + -2(5 + -2q) = 30
(5 * 6 + q * 6) + -2(5 + -2q) = 30
(30 + 6q) + -2(5 + -2q) = 30
30 + 6q + (5 * -2 + -2q * -2) = 30
30 + 6q + (-10 + 4q) = 30

Reorder the terms:
30 + -10 + 6q + 4q = 30

Combine like terms: 30 + -10 = 20
20 + 6q + 4q = 30

Combine like terms: 6q + 4q = 10q
20 + 10q = 30

Solving
20 + 10q = 30

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Add '-20' to each side of the equation.
20 + -20 + 10q = 30 + -20

Combine like terms: 20 + -20 = 0
0 + 10q = 30 + -20
10q = 30 + -20

Combine like terms: 30 + -20 = 10
10q = 10

Divide each side by '10'.
q = 1

Simplifying
q = 1